Patients receive apolizumab IV over at least 2 hours on days 1, 2, 3, 5, 8, 10, 12, 15, 17, 19, 22, 24, and 26. Treatment continues in the absence of disease progression or unacceptable toxicity. Patients with a complete or partial response who relapse after 2 months may receive an additional course of therapy provided they still express the 1D10 antigen.